TSTP Solution File: COL089-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : COL089-1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 15:52:47 EDT 2022

% Result   : Unsatisfiable 1.51s 0.54s
% Output   : Refutation 1.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   36 (  19 unt;   0 def)
%            Number of atoms       :   66 (   4 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   62 (  32   ~;  30   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  10 con; 0-2 aty)
%            Number of variables   :   33 (  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f144,plain,
    $false,
    inference(subsumption_resolution,[],[f143,f51]) ).

fof(f51,plain,
    ~ member(sF2,sF3),
    inference(definition_folding,[],[f44,f50,f49,f48,f47]) ).

fof(f47,plain,
    comb_app(r,p) = sF0,
    introduced(function_definition,[]) ).

fof(f48,plain,
    comb_app(r,z) = sF1,
    introduced(function_definition,[]) ).

fof(f49,plain,
    sF2 = pair(sF0,sF1),
    introduced(function_definition,[]) ).

fof(f50,plain,
    rtrancl(contract) = sF3,
    introduced(function_definition,[]) ).

fof(f44,axiom,
    ~ member(pair(comb_app(r,p),comb_app(r,z)),rtrancl(contract)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce2_2c1) ).

fof(f143,plain,
    member(sF2,sF3),
    inference(forward_demodulation,[],[f142,f49]) ).

fof(f142,plain,
    member(pair(sF0,sF1),sF3),
    inference(resolution,[],[f137,f57]) ).

fof(f57,plain,
    member(pair(sF0,comb_app(r,y)),sF3),
    inference(backward_demodulation,[],[f52,f50]) ).

fof(f52,plain,
    member(pair(sF0,comb_app(r,y)),rtrancl(contract)),
    inference(forward_demodulation,[],[f43,f47]) ).

fof(f43,axiom,
    member(pair(comb_app(r,p),comb_app(r,y)),rtrancl(contract)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce2_2h5) ).

fof(f137,plain,
    ! [X0] :
      ( ~ member(pair(X0,comb_app(r,y)),sF3)
      | member(pair(X0,sF1),sF3) ),
    inference(resolution,[],[f136,f102]) ).

fof(f102,plain,
    ! [X6,X4,X5] :
      ( ~ member(pair(X5,X6),sF3)
      | ~ member(pair(X4,X5),sF3)
      | member(pair(X4,X6),sF3) ),
    inference(resolution,[],[f37,f64]) ).

fof(f64,plain,
    trans(sF3),
    inference(superposition,[],[f36,f50]) ).

fof(f36,axiom,
    ! [X7] : trans(rtrancl(X7)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_rtrancl) ).

fof(f37,axiom,
    ! [X10,X8,X6,X7] :
      ( ~ trans(X7)
      | ~ member(pair(X6,X8),X7)
      | member(pair(X6,X10),X7)
      | ~ member(pair(X8,X10),X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transD) ).

fof(f136,plain,
    member(pair(comb_app(r,y),sF1),sF3),
    inference(subsumption_resolution,[],[f135,f96]) ).

fof(f96,plain,
    member(sF1,comb),
    inference(subsumption_resolution,[],[f95,f39]) ).

fof(f39,axiom,
    member(r,comb),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce2_2h1) ).

fof(f95,plain,
    ( member(sF1,comb)
    | ~ member(r,comb) ),
    inference(subsumption_resolution,[],[f92,f73]) ).

fof(f73,plain,
    member(z,comb),
    inference(resolution,[],[f38,f42]) ).

fof(f42,axiom,
    member(pair(y,z),contract),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_reduce2_2h4) ).

fof(f38,axiom,
    ! [X8,X6] :
      ( ~ member(pair(X6,X8),contract)
      | member(X8,comb) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contract_combD2) ).

fof(f92,plain,
    ( member(sF1,comb)
    | ~ member(z,comb)
    | ~ member(r,comb) ),
    inference(superposition,[],[f11,f48]) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( member(comb_app(X0,X1),comb)
      | ~ member(X1,comb)
      | ~ member(X0,comb) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',comb_intros3) ).

fof(f135,plain,
    ( member(pair(comb_app(r,y),sF1),sF3)
    | ~ member(sF1,comb) ),
    inference(superposition,[],[f129,f48]) ).

fof(f129,plain,
    ! [X2] :
      ( member(pair(comb_app(X2,y),comb_app(X2,z)),sF3)
      | ~ member(comb_app(X2,z),comb) ),
    inference(subsumption_resolution,[],[f124,f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ member(comb_app(X0,X1),comb)
      | member(X0,comb) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_E1) ).

fof(f124,plain,
    ! [X2] :
      ( ~ member(comb_app(X2,z),comb)
      | member(pair(comb_app(X2,y),comb_app(X2,z)),sF3)
      | ~ member(X2,comb) ),
    inference(resolution,[],[f103,f53]) ).

fof(f53,plain,
    ! [X6] :
      ( member(pair(X6,X6),sF3)
      | ~ member(X6,comb) ),
    inference(backward_demodulation,[],[f12,f50]) ).

fof(f12,axiom,
    ! [X6] :
      ( member(pair(X6,X6),rtrancl(contract))
      | ~ member(X6,comb) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reduction_refl) ).

fof(f103,plain,
    ! [X0,X1] :
      ( ~ member(pair(comb_app(X0,z),X1),sF3)
      | ~ member(X0,comb)
      | member(pair(comb_app(X0,y),X1),sF3) ),
    inference(resolution,[],[f58,f42]) ).

fof(f58,plain,
    ! [X10,X11,X9,X12] :
      ( ~ member(pair(X11,X9),contract)
      | member(pair(comb_app(X12,X11),X10),sF3)
      | ~ member(X12,comb)
      | ~ member(pair(comb_app(X12,X9),X10),sF3) ),
    inference(forward_demodulation,[],[f55,f50]) ).

fof(f55,plain,
    ! [X10,X11,X9,X12] :
      ( ~ member(X12,comb)
      | ~ member(pair(comb_app(X12,X9),X10),sF3)
      | ~ member(pair(X11,X9),contract)
      | member(pair(comb_app(X12,X11),X10),rtrancl(contract)) ),
    inference(backward_demodulation,[],[f35,f50]) ).

fof(f35,axiom,
    ! [X10,X11,X9,X12] :
      ( member(pair(comb_app(X12,X11),X10),rtrancl(contract))
      | ~ member(pair(X11,X9),contract)
      | ~ member(pair(comb_app(X12,X9),X10),rtrancl(contract))
      | ~ member(X12,comb) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reduction_rls_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : COL089-1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 16:50:06 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.48  % (14047)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.48  % (14040)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49  % (14031)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.49  % (14038)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.49  % (14038)Instruction limit reached!
% 0.18/0.49  % (14038)------------------------------
% 0.18/0.49  % (14038)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (14035)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50  % (14051)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.50  % (14055)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.50  % (14038)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (14038)Termination reason: Unknown
% 0.18/0.50  % (14038)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (14038)Memory used [KB]: 5500
% 0.18/0.50  % (14038)Time elapsed: 0.096 s
% 0.18/0.50  % (14038)Instructions burned: 9 (million)
% 0.18/0.50  % (14038)------------------------------
% 0.18/0.50  % (14038)------------------------------
% 0.18/0.50  TRYING [1]
% 0.18/0.50  TRYING [2]
% 0.18/0.50  % (14034)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51  TRYING [3]
% 1.32/0.51  % (14058)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.32/0.51  % (14045)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.32/0.52  % (14033)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.32/0.52  % (14053)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.32/0.52  % (14049)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.32/0.52  % (14039)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.32/0.52  % (14036)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.32/0.52  % (14039)Instruction limit reached!
% 1.32/0.52  % (14039)------------------------------
% 1.32/0.52  % (14039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.52  % (14039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.52  % (14039)Termination reason: Unknown
% 1.32/0.52  % (14039)Termination phase: Saturation
% 1.32/0.52  
% 1.32/0.52  % (14039)Memory used [KB]: 5373
% 1.32/0.52  % (14039)Time elapsed: 0.125 s
% 1.32/0.52  % (14039)Instructions burned: 3 (million)
% 1.32/0.52  % (14039)------------------------------
% 1.32/0.52  % (14039)------------------------------
% 1.32/0.52  % (14050)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.32/0.52  % (14041)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.32/0.53  % (14032)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.32/0.53  % (14052)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.32/0.53  % (14043)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.51/0.53  % (14048)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.51/0.53  % (14060)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.51/0.53  % (14059)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.51/0.53  % (14057)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.51/0.53  TRYING [1]
% 1.51/0.53  % (14037)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.51/0.53  TRYING [2]
% 1.51/0.54  % (14058)First to succeed.
% 1.51/0.54  % (14056)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.51/0.54  % (14058)Refutation found. Thanks to Tanya!
% 1.51/0.54  % SZS status Unsatisfiable for theBenchmark
% 1.51/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.54  % (14058)------------------------------
% 1.51/0.54  % (14058)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.54  % (14058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.54  % (14058)Termination reason: Refutation
% 1.51/0.54  
% 1.51/0.54  % (14058)Memory used [KB]: 1023
% 1.51/0.54  % (14058)Time elapsed: 0.151 s
% 1.51/0.54  % (14058)Instructions burned: 8 (million)
% 1.51/0.54  % (14058)------------------------------
% 1.51/0.54  % (14058)------------------------------
% 1.51/0.54  % (14030)Success in time 0.199 s
%------------------------------------------------------------------------------